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发表于 2006-2-27 15:42:07
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[分享]Notes on Advanced Computational Fluid Dynamics-Dr C. Shu
Table of Contents
1. Domain-free Discretization (DFD) Method
1.1 Introduction
1.2 Domain-free discretization (DFD) method
1.3 Sample Applications of DFD Method
1.4 Application of DFD Method to Solve Navier-Stokes Equations
2. Least Square-based Finite Difference (LSFD) Method
2.1 Introduction
2.2 LSFD Method
2.3 Numerical Analysis of Convergence Rate
2.4 Sample Applications of LSFD to Flow Problems
3. Radial Basis Function-based Differential Quadrature (RBF-DQ) Method
3.1 Introduction
3.2 Radial Basis Functions (RBFs) and Function Approximation
3.3 Differential Quadrature (DQ) Method for Derivative Approximation
3.4 Global Radial Basis Function-based Differential Quadrature (RBF-DQ) Method
3.5 Local RBF-DQ Method
3.6 Sample Applications of Local RBF-DQ Method
3.7 Application of Local RBF-DQ Method to Flow Problems
4. Standard Lattice Boltzmann Method (LBM)
4.1 Introduction
4.2 Lattice Gas Cellular Automata (LGCA)
4.3 Kinetic theory
4.4 Lattice Boltzmann Method (LBM)
4.5 Practical Implementation of LBM for Lid-Driven Square Cavity Flows
5. Taylor Series Expansion- and Least Square- based Lattice Boltzmann Method (TLLBM)
5.1 Introduction
5.2 Conventional models for problems with complex geometry
5.3 Taylor Series Expansion- and Least Square-based Lattice Boltzmann Method (TLLBM)
5.4 Accuracy Analysis of TLLBM
5.5 Practical Implementation of TLLBM for Flow around a Circular Cylinder
6. Application of TLLBM to Simulate Thermal Flows
6.1 Introduction
6.2 Internal Energy Density Distribution Function (IEDDF) Thermal Model
6.3 Application of IEDDF thermal model on arbitrary mesh by using TLLBM
6.4 Boundary conditions
6.5 Practical implementation of IEDDF thermal model for natural convection in a square cavity using the
technique of TLLBM
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